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Finding the Fourth Proportional to 27,957.66, 38,581.89 and 15,382.50

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Solution

The fourth proportional to 27,957.66, 38,581.89 and 15,382.50 is: 21,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.66 : 38,581.89 = 15,382.50 : x
  2. Step 2: Convert to fraction form
    27,957.66/38,581.89 = 15,382.50/x
  3. Step 3: Cross multiply
    27,957.66x = 38,581.89 × 15,382.50
  4. Step 4: Simplify right side
    27,957.66x = 593,485,922.93
  5. Step 5: Solve for x
    x = 593,485,922.93/27,957.66
  6. Step 6: Final answer
    x = 21,228.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.